QuestionFind a function $f(x)$ that satisfies $f^{\prime}(x)=x^{4}-8 x$ and $f(1)=2$. Answer:

Studdy Solution
Substitute the value of $C$ back into the expression for $f(x)$.
$$f(x) = \frac{x^5}{5} - 4x^2 + \frac{29}{5}$$
This is the function $f(x)$ that satisfies the given conditions.